An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure

Table 3

Comparison of the approximate frequency-amplitude relations with exact and existing results of .

	Er (%)	Er (%)	Er (%)	Er (%)	Er (%)
0.1	2.319992336; 0.5973	2.306220896; 0.0002	2.307130328; 0.0396	2.307082081; 0.0375	2.269958874; 1.572	2.306216768
0.5	1.356739749; 0.5973	1.348686162; 0.0002	1.349218000; 0.0396	1.349189785; 0.0375	1.327480002; 1.572	1.348683748
1	1.076845052; 0.5973	1.070452916; 0.0002	1.070875036; 0.0396	1.070852642; 0.0375	1.053621576; 1.572	1.070451000
5	0.629742806; 0.5973	0.626004663; 0.0002	0.626251520; 0.0396	0.626238424; 0.0375	0.6161616353; 1.572	0.626003542
10	0.499827197; 0.5973	0.496860230; 0.0002	0.497056161; 0.0396	0.497045766; 0.0375	0.4890478141; 1.572	0.496859340
50	0.292300718; 0.5973	0.290565625; 0.0002	0.290680206; 0.0396	0.290674127; 0.0375	0.2859968965; 1.572	0.290565105
100	0.231999233; 0.5973	0.230622089; 0.0002	0.230713032; 0.0396	0.230708208; 0.0375	0.2269958874; 1.572	0.230621676
500	0.135673974; 0.5973	0.134868616; 0.0002	0.134921800; 0.0396	0.134918978; 0.0375	0.1327480002; 1.572	0.134868374
1000	0.107684505; 0.5973	0.107045291; 0.0002	0.107087503; 0.0396	0.107085264; 0.0375	0.1053621576; 1.572	0.107045100

Note. Here, represents the approximation frequency obtained by Ganji et al. [21].